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aliami0306oyaj0n
13.05.2021 •
Mathematics
A survey from summer 2019 found that the average American adult spent 2.25 hours a day in front of a computer outside of work, with a standard deviation of 0.75 hours. The survey also found that the population data is most likely normally distributed. a) What portion of adults are in front of a computer for less than 0 hours a day, outside of work? b) Medical professions recommend spending no more than 2 hours in front of a computer each day. What portion of the population is on their computer more than the recommended amount? c)What portion of adults spend between 1 and 5 hours a day in front of a compute reach day, outside of work?
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Ответ:
a)0.135%
b) 36.944%
c) 95.209%
Step-by-step explanation:
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 2.25 hours
σ is the population standard deviation = 0.75 hours
a) What portion of adults are in front of a computer for less than 0 hours a day, outside of work?
x < 0 hours
Hence,
z = 0 - 2.25/0.75
=-3
Probability value from Z-Table:
P(x<0) = 0.0013499
Converting to Percentage
= 0.0013499 × 100
= 0.13499%
= 0.135%
b) Medical professions recommend spending no more than 2 hours in front of a computer each day. What portion of the population is on their computer more than the recommended amount?
No more than 2 hours
x ≤ 2 hours
x < 2 hours
Hence,
z = 2 - 2.25/0.75
= -0.33333
Probability value from Z-Table:
P(x≤ 2) = 0.36944
Converting to Percentage
= 0.36944 × 100
= 36.944%
c)What portion of adults spend between 1 and 5 hours a day in front of a compute reach day, outside of work?
For x = 1 hour
z = 1 - 2.25/0.75
=-1.66667
P-value from Z-Table:
P(x= 1) = 0.04779
z = 5 - 2.25/0.75
=3.66667
P-value from Z-Table:
P(x = 5) = 0.99988
Hence,
0.99988 - 0.04779
= 0.95209
Converting to Percentage
= 0.95209 × 100
= 95.209%
Ответ:
b) sin = 3/5
Step-by-step explanation:
it's 3 to 5 so that means hypotenuse is automatically 5 and tan = opposite/ adjacent. Sin = opposite/hypotenuse so that means we can just change the denominator to 5 to make it opposite/hypotenuse.